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Start Over Subject controllability

1. Controllability and observability of time-invariant linear dynamic systems

Creator:
Bohner, Martin and Wintz, Nick
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
time scale, dynamic equation, exponential function, controllability, reachability, observability, duality principle, and time invariance
Language:
English
Description:
In the paper, we unify and extend some basic properties for linear control systems as they appear in the continuous and discrete cases. In particular, we examine controllability, reachability, and observability for time-invariant systems and establish a duality principle.
Rights:
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2. Controllability of linear impulsive matrix Lyapunov differential systems with delays in the control function

Creator:
Muni, Vijayakumar S. and George, Raju K.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
matrix Lyapunov systems, controllability, impulsive differential systems, and delays
Language:
English
Description:
In this paper, we establish the controllability conditions for a finite-dimensional dynamical control system modelled by a linear impulsive matrix Lyapunov ordinary differential equations having multiple constant time-delays in control for certain classes of admissible control functions. We characterize the controllability property of the system in terms of matrix rank conditions and are easy to verify. The obtained results are applicable for both autonomous (time-invariant) and non-autonomous (time-variant) systems. Two numerical examples are given to illustrate the theoretical results obtained in this paper.
Rights:
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3. Controllability of linear impulsive systems - an eigenvalue approach

Creator:
Muni, Vijayakumar S. and George, Raju K.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
controllability, eigenvalues, and impulses
Language:
English
Description:
This article considers a class of finite-dimensional linear impulsive time-varying systems for which various sufficient and necessary algebraic criteria for complete controllability, including matrix rank conditions are established. The obtained controllability results are further synthesised for the time-invariant case, and under some special conditions on the system parameters, we obtain a Popov-Belevitch-Hautus (PBH)-type rank condition which employs eigenvalues of the system matrix for the investigation of their controllability. Numerical examples are provided that demonstrate--for the linear impulsive systems, null controllability need not imply their complete controllability, unlike for the non-impulsive linear systems.
Rights:
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4. Controllability of semilinear stochastic integrodifferential systems

Creator:
Balachandran, Krishnan, Karthikeyan, Shanmugasundaram, and Kim, Jeong-Hoon
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
controllability, approximate controllability, stochastic integrodifferential system, and Picard iteration
Language:
English
Description:
In this paper we study the approximate and complete controllability of stochastic integrodifferential system in finite dimensional spaces. Sufficient conditions are established for each of these types of controllability. The results are obtained by using the Picard iteration technique.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

5. Nonlocal Cauchy problems and their controllability for semilinear differential inclusions with lower Scorza-Dragoni nonlinearities

Creator:
Cardinali, Tiziana, Portigiani, Francesco, and Rubbioni, Paola
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
nonlocal conditions, semilinear differential inclusions, selection theorem, mild solutions, lower Scorza-Dragoni property, and controllability
Language:
English
Description:
In this paper we prove the existence of mild solutions and the controllability for semilinear differential inclusions with nonlocal conditions. Our results extend some recent theorems.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

6. Null controllability of a nonlinear diffusion system in reactor dynamics

Creator:
Sakthivel, Kumarasamy, Balachandran, Krishnan, Park, Jong-Yeoul, and Devipriya, Ganeshan
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
controllability, observability, and parabolic integrodifferential equation
Language:
English
Description:
In this paper, we prove the exact null controllability of certain diffusion system by rewriting it as an equivalent nonlinear parabolic integrodifferential equation with variable coefficients in a bounded interval of R with a distributed control acting on a subinterval. We first prove a global null controllability result of an associated linearized integrodifferential equation by establishing a suitable observability estimate for adjoint system with appropriate assumptions on the coefficients. Then this result is successfully used with some estimates for parabolic equation in Lk spaces together with classical fixed point theorem, to prove the null controllability of the nonlinear model.
Rights:
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7. On exact null controllability of Black-Scholes equation

Creator:
Sakthivel, Kumarasamy, Balachandran, Krishnan, Sowrirajan, Rangarajan, and Kim, Jeong-Hoon
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Black-Scholes equation, volatility, controllability, observability, and Carleman estimates
Language:
English
Description:
In this paper we discuss the exact null controllability of linear as well as nonlinear Black-Scholes equation when both the stock volatility and risk-free interest rate influence the stock price but they are not known with certainty while the control is distributed over a subdomain. The proof of the linear problem relies on a Carleman estimate and observability inequality for its own dual problem and that of the nonlinear one relies on the infinite dimensional Kakutani fixed point theorem with L2 topology.
Rights:
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8. The symmetry reduction of variational integrals

Creator:
Tryhuk, Václav and Chrastinová, Veronika
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Routh reduction, Lagrange variational problem, Poincaré-Cartan form, diffiety, standard basis, controllability, and variation
Language:
English
Description:
The Routh reduction of cyclic variables in the Lagrange function and the Jacobi-Maupertuis principle of constant energy systems are generalized. The article deals with one-dimensional variational integral subject to differential constraints, the Lagrange variational problem, that admits the Lie group of symmetries. Reduction to the orbit space is investigated in the absolute sense relieved of all accidental structures. In particular, the widest possible coordinate-free approach to the underdetermined systems of ordinary differential equations, Poincaré-Cartan forms, variations and extremals is involved for the preparation of the main task. The self-contained exposition differs from the common actual theories and rests only on the most fundamental tools of classical mathematical analysis, however, they are applied in infinite-dimensional spaces. The article may be of a certain interest for nonspecialists since all concepts of the calculus of variations undergo a deep reconstruction.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public