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Start Over Subject observability

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:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. 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:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

3. Observability of nonlinear systems

Creator:
Knobloch, H. W.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
ordinary differential equations and observability
Language:
English
Description:
Observability of a general nonlinear system—given in terms of an ODE x˙ = f(x) and an output map y = c(x)—is defined as in linear system theory (i.e. if f(x) = Ax and c(x) = Cx). In contrast to standard treatment of the subject we present a criterion for observability which is not a generalization of a known linear test. It is obtained by evaluation of “approximate first integrals”. This concept is borrowed from nonlinear control theory where it appears under the label ''Dissipation Inequality'' and serves as a link with Hamilton-Jacobi theory.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

4. 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:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public