How Long to Read On Linear-Quadratic Optimal Control and Robustness of Differential-Algebraic Systems

How Long Does it Take to Read On Linear-Quadratic Optimal Control and Robustness of Differential-Algebraic Systems?

It takes the average reader 5 hours and 10 minutes to read On Linear-Quadratic Optimal Control and Robustness of Differential-Algebraic Systems by Matthias Voigt

Assuming a reading speed of 250 words per minute. Learn more

Description

This thesis considers the linear-quadratic optimal control problem for differential-algebraic systems. In this first part, a complete theoretical analysis of this problem is presented. The basis is a new differential-algebraic version of the Kalman-Yakubovich-Popov (KYP) lemma. One focus is the analysis of the solution structure of the associated descriptor KYP inequality. In particular, rank-minimizing, stabilizing, and extremal solutions are characterized which gives a deep insight into the structure of the problem. Further contributions include new relations of the descriptor KYP inequality to structured matrix pencils, conditions for the existence of nonpositive solutions, and the application of the new theory to the characterization of dissipative systems and the factorization of rational matrix-valued functions. The second part of this thesis focuses on robustness questions, i.e., the influence of perturbations on system properties like dissipativity and stability is discussed. Characterizations for the distance of a dissipative systems to the set of non-dissipative systems are given which lead to a numerical method for computing this distance. Furthermore, the problem of computing the H-infinity-norm of a large-scale differential-algebraic system is considered. Two approaches for this computation are introduced and compared to each other.

How long is On Linear-Quadratic Optimal Control and Robustness of Differential-Algebraic Systems?

On Linear-Quadratic Optimal Control and Robustness of Differential-Algebraic Systems by Matthias Voigt is 310 pages long, and a total of 77,500 words.

This makes it 105% the length of the average book. It also has 95% more words than the average book.

How Long Does it Take to Read On Linear-Quadratic Optimal Control and Robustness of Differential-Algebraic Systems Aloud?

The average oral reading speed is 183 words per minute. This means it takes 7 hours and 3 minutes to read On Linear-Quadratic Optimal Control and Robustness of Differential-Algebraic Systems aloud.

What Reading Level is On Linear-Quadratic Optimal Control and Robustness of Differential-Algebraic Systems?

On Linear-Quadratic Optimal Control and Robustness of Differential-Algebraic Systems is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy On Linear-Quadratic Optimal Control and Robustness of Differential-Algebraic Systems?

On Linear-Quadratic Optimal Control and Robustness of Differential-Algebraic Systems by Matthias Voigt is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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